| Autor: |
Jie Wang, Semyon Klevtsov, Zhao Liu |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
Physical Review Research, Vol 5, Iss 2, p 023167 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2643-1564 |
| DOI: |
10.1103/PhysRevResearch.5.023167 |
| Popis: |
It is commonly believed that nonuniform Berry curvature destroys the Girvin-MacDonald-Platzman algebra and as a consequence destabilizes fractional Chern insulators. In this work, we disprove this common lore by presenting a theory for all topological ideal flatbands with nonzero Chern number C. The smooth single-particle Bloch wave function is proven to admit an exact color-entangled form as a superposition of C lowest Landau level type wave functions distinguished by boundary conditions. Including repulsive interactions, Abelian and non-Abelian model fractional Chern insulators of Halperin type are stabilized as exact zero-energy ground states no matter how nonuniform the Berry curvature is, as long as the quantum geometry is ideal and the repulsion is short-ranged. The key reason is the existence of an emergent Hilbert space in which Berry curvature can be exactly flattened by adjusting the wave function's normalization. In such space, the flatband-projected density operator obeys a closed Girvin-MacDonald-Platzman type algebra, making exact mapping to C-layered Landau levels possible. In the end, we discuss applications of the theory to moiré flatband systems, with a particular focus on the fractionalized phase and the spontaneous symmetry-breaking phase recently observed in graphene-based twisted materials. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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